There is a lot of misinformation on this subject. It won't hurt any steel removal characteristics if you don't go too fine. In point of fact it will improve them. Lapping with a diamond plate deadens a stone FAR more. If you think a diamond plate is any different try lapping a stone with a 1200 grit diamond plate - the stone will be slower than molasses.
An important thing to remember when using SiC grit to lap is that it breaks down finer and finer during use. This means that just because you start with 80 grit and lap for 5 minutes doesn't mean you have an 80 grit finish! If you want an 80 grit finish you need to charge the lapping plate (add grit and lightly soapy water - few drops of soap in a water bottle) and start lapping, then charge it again, lap lighter, charge it again, lap lighter for maybe 5 or 10 figure eights each time until you have an even finish. Then you'll have an 80 grit finish. (Or substitute whatever grit you're using/wanting).
I have done this (SiC lapping) many many times on many different types of stone, from Shaptons to Spyderco ceramics to Arkansas stones to slate stones to you name it. The grit will not embed on any but the softest stones either. A key component in this is to do your final lapping with very light pressure. This allows the grit to roll over and scrape off any that might be embedded and loosen it up. A quick scrub with a stiff bristled nylon brush under running water will remove 99% if not all of any stray grit from even those. The first use of the stone will remove any that might remain.
The stone doesn't glaze either. You are flattening the tips of the abrasive particles by lapping them, not dulling them. The flatter you make them the less deep they will cut without higher pressure. They will still be sharp because of the peaks and valleys formed by the tumbling and rolling lapping grit. Coarser lapping equates to faster cutting with a worse finish, finer lapping equates to slower cutting with a finer finish. You need to strike the balance that you want for your particular stone and preferences. Very soft stones will self-regulate no matter how you lap them if you use much pressure because they will just shed the grit that is taking more pressure to cut. However, if you use very light pressure you can make even soft stones perform above or below their "rated" grit for a short time. How much you can tweak the rating is heavily dependent on the stone.