If you want your test wedges to match your actual processing, then like Doremus says, attach it to some of your normal film.
Good idea by Kino as a routine check. I used to occasionally do this if I had an unfinished roll that I wanted to process asap.
A note about where the strip goes... I'd guess that the results MAY vary depending on where the test wedges go. So... might be worth exposing test wedges through the entire roll of film, including reversing the direction of the wedges.
If you really just wanna study the "condition" of the developer under various test regimes, try this: tape your test strip against the inner wall of your SS tank (use a short strip of tape at the leading and trailing edges). Then use a magnetic stir bar; 1.5 to 2 inch should be fine. (Obviously no reels in the tank.) To process, load the tank and pour in developer. Right away set it on top of a magnetic stirrer and dial up the speed to whatever preset point you want. (If the stirrer is already going the stir bar may just chatter, etc.)
Yeah, I do have plenty of experience with this. We used to test color developer mixes like this, screening just about every one. We used to do it inside of a precision lab temperature bath to keep the developer temperature on the money. A typical Corning magnetic stir plate had no problem driving the stir bar through the clear plastic tank of the lab bath. My very vague recollection is that the results weren't an exact match to the actual processing machines anyway, so we just decided decided the heck with starter solution, etc., and just tested with the color developer replenishers straight up as mixed. (All we wanted was to verify consistency of each mix, as proof of the proper mixing and no contaminants in the chems.)
As I recall we tried the control strips in both directions and found no difference, but I could be wrong (this was something like 45 years ago). We did this with both color film and color paper developers (about 5 or 6 fresh mixes daily) for lots of years. It was a very good way - easy to set up and very consistent, to screen developer mixes.
FWIW we started this routine as part of a larger project - scratch mixing the paper developer AND "regenerating" same. The predecessor of the RA-4 color paper process, Ektaprint 2/3, was AgBr based, and very susceptible to bromide ion in the developer. So Kodak had developed a regeneration scheme based on use of ion-exchange resin (Rohm and Haas IRA-400, as I recall) to remove primarily the bromide. We had a custom-made system for this, and after a basic chemical analysis the treated developer was reconstituted with the missing components. Because there are so many ways to screw up, we figured the most straightforward screening method would be to actually process a test strip, which is how we came about doing this. Fwiw we initially bought a Jobo rotary processor specifically for this purpose, and had it plumbed into our QC darkroom. But using it was such a slow and tedious process we came up with the Nikkor SS tank routine and got rid of the Jobo. Fwiw the RA-4 process came out shortly after this. RA-4 paper is AgCl based, and the chloride ion had very little effect on the color developer, so we scrapped the entire ion-exchange system (but it essentially had paid for itself in the first 4 months).