I don't have a heavy beard, and 62 i have never used a 'cut throat' razor.
I have found with any razor you have 'learn' it before you can get the best results, so whatever you buy don't, judge it on the 1st couple if shaves.
Wilkinson Sword make a flexible cartridge 3 blade razor. I found this the best for me as it reduced the amount of cuts suffered, especially to my top lips, having more confidence of a no blood soaked damage means a better shave is achieved, but you can't disrespect it.
A year ago i bought a Braun 7 series razor (to replace my faithful 20 year old Braun) paid £120.00 of
Amazon. tbh i've found it so good i've not used a wet razor since.
I'm not claiming it is as good as a blade but has to be one of the closest so far. for people with heavy beards i think they will always need to use a wet shaver - or wax
., but having a very good battery life, given the convenience and no risk of snicks, they could always shave twice a day.
The cleaning station fluid also lubricates the cutters and help to keep it's as new feeling. Battery life is very good and the cleaning/charging cycle takes about 20 minutes, beware other razors with a charger/cleaning station which can take about 8 hours.
The latest Braun Razors can be used while in the shower, but i don't leave it in there in case the wife uses it on her legs (or her 'other' regions lol!).