Who says you're getting any correct "deflections" at all, if you GS isn't working well enough to fly an ILS? You sure that LOC receiver is working properly, too?
I'm still going with, "If I'm flying an ILS and there's a reason to go missed, I'm going missed, and troubleshooting at a much higher and more reasonable altitude for such things. If the silly LOC is working and the GS isn't, I may have even better options on board than a LOC approach, or I might not, but I'm not making that decision to flip approaches to something I wasn't flying down low with an OBS head doing oddball things.
Doesn't really matter if it's needles or glass, either... one of the number one things heard in any glass setup is "WTF is that thing doing, now?" even when folks have trained pretty well on the buttonology.
If [insert whatever system or portion of system used for whatever approach you're flying] is not working right, a miss and deal with it aloft is still the best option. IMHO.