While you may be following your buddies and diving a similar profile, there can be some discrepancies because it's not going to be 100% the same - a little more jigsaw, slightly faster ascents, etc. or their residual nitrogen from previous diving versus yours - and that might only become an issue or a significant factor when one is close to NDL. There are some aspects that may make the following diver more susceptible to the bends (age, condition, having had bends before, etc.) that your buddy may not be accounting for in their dive computer because it does not apply to them. There is a larger conversation and discussion about that if that is the plan but I won't go into detail with it here. I know the OP did not do this, but it is also easy to follow someone else's dive profile when it is convenient and then use the computer when it is convenient to do that. The inconsistency can create more of a nuisance, especially if the computer is going to be locked out. Even if you pick back up once it has been unlocked, you still do not account for the residual nitrogen unless it has been a solid 24 hours since your last dive, just to be safe. It sounds like a possible disaster waiting to happen and the downside far outweighs the marginal benefit. If you don't agree with your computer or like the algorithm and how conservative it is, get a new computer.
I think owning a dive company does not necessarily make someone's actions or decisions the right or smartest one. Each diver is certified and should know the implications of doing something like this. I would not do this for myself or let anyone I cared about to do it that way and I would strongly urge that they get a new computer with a more favorable algorithm if that is the case. There are possible undesirable outcomes from setting a computer to nitrox when you are diving air depending on the diver and the situation, dives, etc.
In a nutshell, all this is not worth all the possible negative things that can happen. One minor problem can snowball into a larger problem because you lost track of something or thought it would be okay, etc. etc. etc. Having to go out of our way to fool a computer to get a desired outcome seems silly and defeats the purpose of having a computer there to tell us what we should be doing. Just buy a new computer. It's easy as that. If you can't afford it - well, it's an expensive hobby, yes...Either be okay with it, or just do it and don't look back but it's also your life. I'm pretty sure it's worth at least that.