Instead of calling it a "sense mod", it should've been called a "sense bypass". The sense circuit is there for a good reason. During gameplay, the amount of current drawn by the mainboard from the +5V supply varies. This changes the voltage drop that occurs over the wiring harness and the connectors. The sense leads are not supposed to conduct much current and are supposed to provide voltage feedback to the regulator so that it will output more or less voltage to compensate for the varying voltage drop. This makes sure that the +5V supply at the board remains ideal.
Obviously, soldering a bypass onto the ARII will cause a total failure to compensate for varying voltage drops and problems with the game can result. The only reason that the two sense resistors on the ARII burn is that the mainboard edge fingers and/or the edge connector contacts have worn out and have likely burned. The proper repair solution is to replace the ARII resistors and also replace the edge connector contacts (this is not hard, you just need the proper parts). If the edge fingers are bad, simply resurface them with self-adhesive copper tape (it is solderable and contains special additives to prevent oxidation meaning it stays shiney). Electronic components distributors sell this stuff.
Ask yourself a few questions...
1/ If the game worked as designed for 20+ years, would it kill you to fix it properly? If you do, is it likely to fail again any time soon?
2/ If the main power leads, consisting of multiple conductors both positive and negative, have failed at the PCB edge fingers, how long do you think that the single-lead sense contacts are going to last after you bypass the sense circuit and start dumping full game current through the sense leads?
3/ If you decide to change out the ARII board for some reason, you'll have to remember to modify the next one. If you forget, it'll fry too. ARII boards aren't all that valuable, but most collectors don't want hacked boards so you might say that modding it would reduce it's resale value a bit.
I think it is a good idea and good work practice just fix it properly and to never take shortcuts.