Command CV-15s burning oil

Wondering what to do with the CV15s on my ’98 era Deere LX255. I've had it since new, services at least once a year. I estimate 800-1000 hours on it. It's been burning oil for the past season. Local shop suggests putting a Briggs Intek on instead of rebuilding. He hasn't seen it yet. Another local shop, Kohler dealer, suggested diagnosis before deciding on an approach. New Kohler Command is about 2-3x the cost of the Briggs.

Also curious if I do a swap myself, what should I look for to make this simple to swap in the a new motor?

CV15S-41571 probably.
 
Also if the Kohler shop is using a low pressure leak down tester he can disable the valve train and complete the complete cylinder stroke testing for taper/ovaled cylinder wear.
 
As mention can be just a bad head gasket or maybe a worn valve and valve guide which Kohler offers oversized valves so the valve guides can be oversized. A worn intake valve guide will allow extra oil to sucked in during the intake stroke.
 
As for swap first make you are getting the same PTO shaft size and length then there is the rewiring to match the new engine installation. Things like throttle and control cables may need to be swapped out too.
 
Kohler CV15s41571 Crankshaft dimensions:
 

This is fairly common Brigg PTO spec of 3-5/32" x 1" so finding a 310000 series isn't a problem.
 
BTW the reason Kohler engines cost more because they are a lot better as Briggs quality has really gone down over the years especially since they started dealing with China.
 
Plus with Briggs in Chapter 11 currently there is a good chance things will get worst or they could completely shut down. My Briggs parts are already getting back ordered several weeks now even on very commonly used parts. Just this week I was needing a 31 series cylinder head and found out it is on a two month back order. If they do me like the last head I ordered that was such a long back order, they will double my cost.
 
 

Thanks, and absolutely spot on, it's a 41571. I appreciate all the detail. I wasn't sure of he reasoning behind the Briggs being so much less expensive. My good luck with Briggs over the years is limited to engines made between about 1965 and the late 90s, so its dated. Sorry to see they may not be around. With Tecumseh gone for a while now, seems our options are getting limited.

I'm not sure if I'll try to tackle some of this myself or if I'll just talk to the Kohler guy. I think I'm going to pass on the Briggs though.