This is all correct, but subjective. I think that you use tools for building things, whether it's something constructed to withstand the elements, etc. The problem exists that when something isn't well-constructed, it could fail terribly.
That being said, we each strive to own what is more important to us, whether that be a nice dwelling, a nice vehicle, or nice instruments and things that allow us to be heard over a crowd.
All the trivial bits and pieces of brand names, parts, and tone quest are the aspects of being a discerning listener who can hear the differences in what our instruments are saying...perhaps the most important part of being a appreciably well-trained guitarist is having ears that helps us discern all of these differences, subjective, or not. What we hear is what determines how we make our individual tones that we like, and I think this is what you were saying when mentioning how each of us chooses one brand, constructed material or part over another.
A digital device is a tool that you use to build and eventually hear the tone you are looking for. The Guitar is the tool that you use to create the music but the rest of the devices after this is to build and hear what you want your guitar to sound like. The whole signal path is building and shaping the way that you want the sound to be heard. Its like an Artist that uses the tools they have to create the final picture, mixing paints, building the tone they need from the tools (in this case the paints) where necessary to create the desired tone.
A Digital device is multiple tools all combined where as a traditional set-up has specific tools for the artist to use to shape, create and hear the voice at the end. If you want a certain distorted tone, you need a tool to take the pure tone in and give you that distorted tone out, want to boost that tone for a Solo, you need to tool to do that etc. At the end, you need a tool to amplify and a tool to hear that tone you have built up and by using the Guitar to change the sound coming out to create 'music', building a sequence of notes, chords etc into a 'song'.
Without these tools, you are limited to just the instrument which can be enough in certain cases. An acoustic jam around a campfire maybe all you need but playing in a concert hall, you may need tools to take the sound of the guitar and amplify it, make it audible to those at the back of the crowd. Even just an Electric into your favourite Valve amp may need tools to take that sound and put it through a PA to be heard by all. The speakers, whether that's just in your Amp, PA speakers placed around the hall, monitor speakers connected to your PC etc etc are still tools to make your sound audible. A Helix for example can be the tool you use to tune, shape you sound, inc the sound associated with a specific amp into a specific cab and mic'd a specific way with a specific mic rather than use 'individual' tools to do this.
If the musician isn't happy with the feel or the sound that they are getting from an all in one digital modeller, then they can use a different tool for that job. If the Helix doesn't have the looper you want, you can use a different and separate tool to give you the looper you want and that goes for any pedal - if that tool isn't the right tool to shape your sound the way you as a musician wants, then you use a different tool that does the job you want. A Modeller maybe the best tool for an artist who is travelling gig to gig into different venue types and much easier, financially better and 'good enough' that makes it a better tool than taking the more traditional tools of an Amp, Cab and Mic that are tools to amplify, hear and take that sound to the front of house. It may not be the 'best' tool for feel for example but the advantages of using that tool compared to the more traditional tools outweigh any of the disadvantages. That's just 1 example - another maybe that a Helix Stomp is better as it fits on their pedal board and integrates very well with the individual pedals they have.
Point is that these tools are available and good enough for professional musicians to use - either on its own or in conjunction with more traditional tools. Its down to the individual to decide if and where these tools can fit into their set-up. If they don't, then so be it but if they do, that is perfectly acceptable and not up to anyone to criticise or belittle the user of these tools. Even if the only time they use a Digital modeller is for the odd gig where it isn't cost effective or viable to take a Pedal board, Valve amp, Cab and mic, all the cabling too when all they need to take is a Helix in a back pack and their Guitar(s). It maybe the 'best' tool for that musician in that situation but for another, they may decide that the extra costs are worth the extra expense because the advantages to them outweigh the negatives.