Well, these days when I'm slipping into my lower registers, just for the heck of it, it actually sound quite frightening to ME.
And I get shocked and immediately go back to my 'normal' femme voice. Yes, it sounds more breathy, yet not forced too high which for a woman my age mostly sounds quite wrong. Female voices, lots, go lots lower with age too...
So, yes, you will get used to it, and will NOT want to go down in register, in will fact try and avoid it to the point that this lower voice will not sound like your own any more. That's my experience.
Funny is, that now I notice that a number natal female voices are quite some lower then mine, and it is in fact startling at times. A sort of... oh...!, effect.
One thing I noticed, when I have lengthy serious talks my voice does drop, yet same seems to happen with most natal female, maybe not quite a drastically, though. The sweeter I FEEL the chirpier my voice gets, quite normal too that.
Axélle