Stability: one way to look at it is to compare with what happens when you mix your selenium toner with HCA. KRST contains large amounts of fixer (IIRC it has something to do with the solubility of selenium), so it builds up significant thiosulfate level in paper. The Ansel Adams way of mixing KRST with HCA is actually effective in reducing the amount of thiosulfate that stay in the paper base or the emulsion.
The problem, as Tim Rudman mentions in his toning book, is that HCA degrades quickly. He doesn't recommend keeping diluted HCA for longer than a single session. Selenium, on the other hand, last much longer. So once your HCA degrades, its positive effect in counterbalancing the excess thiosulfate of KRST is negated. You're back to square one, so to speak.
If I follow that logic for your case, the HCA will eventually degrade, and the fixer will stay relatively unaffected. But as was mentioned above, it might effect pH. Rapid acid fixers are less effective when pH rises, so your fixer would be a little less effective than fresh fixer.
Anyway, at this point it's a purely academic question, but hey! I'm an academic-in-training... (just not in chemistry, so don't quote me!)