Was in the same boat. I didn't watch the macros and ate too much fat and though my novice LP went perfectly progression has stalled permanently because I've got to cut quite a bit. I chose HLM because I knew TM would be too taxing and not worth it as I'm not going to progress while cutting. Without programming really being an issue my first lift after cutting calories was down in reps, then went down both in weight and reps and now my squat is down 40 lbs, but presses remarkably have stayed the same.
I made the mistake of cutting too many calories too fast, and I did it by cutting carbs which was the wrong thing to do. I know this goes into nutrition on a training question but nutrition is what is most important involving a cut.
It's important to note that I lost both reps and strength steadily until I upped my carbs again (not fully, but enough) and just cut out as much fat as possible. My strength thankfully stabilized after that and no more loss, and I'm still dropping lbs.
I'm down 9 lbs in 3 weeks and for my goals have about 20 more to go, which I made sure to overestimate. My gut is already going down.
HLM has been key to both my sanity and my success in this and I have no doubt I will get my squatting strength back up when this weight is off.
Just my .02 for you.