2nd computer in a gauge mode will want you to wait 24 hours before its (no-)deco calculations become valid. If you want to adjust for residual loading you up its conservatism, making it no different from 'renting/borrowing a "clean" computer for dive 2 would require me to be so conservative on my second dive that' it's just not worth getting wet in the first place.
Are you sure you don't want to run your perdix and tx-1 in dive mode both? (They'll both read the same tank transmitter(s) too, right?)
I understand. What I meant was, that if I only had 1 computer and I didn't want to shell out for another "expensive" computer just to have as a backup, then I would rather have a cheap computer in gauge mode than no backup computer at all. If I were only diving Nitrox, then I would not use the cheap backup computer in gauge mode (I would use it in normal Dive mode) and would just use it as is for dive 2.
Upping the conservatism on a clean computer is not the same as using dive data from a bottom timer (i.e. computer in gauge mode) to plan a second dive. Higher conservatism on a clean computer is still going to assume all your compartments are "clean" (or the equivalent for whatever model it uses), which is simply not the case. And that could still result in you getting a much higher final loading than you would want after your 2nd dive. Maybe it's "close enough" for ordinary single tank recreational diving. But, how do you know?
I do run my two computers in dive mode. And, yes, my TX-1, Atom, and Perdix all read the same transmitters. But, I actually use my H3 and Perdix and the TX-1 is being sold to a buddy. The Atom may stay, as a backup to the backup - and to use on recreational dives, instead of the bulkier Perdix. But, if the H3 or Perdix crapped out and I was doing a tech dive, as I said earlier, I would use the Atom in Gauge mode. If the primary computer crapped out, I would use the data from the Atom to plan my subsequent dives, so that I did not have to sit out for 24 hours and so that I did not have to totally fudge things by diving a clean computer with bumped up Conservatism (which I wouldn't have any way to know exactly what it was doing).