As far as burning oil if you are using it for personal use I would let it burn. Average homeowner puts 50 hours a year or less. If using it commercially I would fix if parts are available.
Last BS motor I tried to work on for my uncles friend had bent valves due to mice getting in the muffler and then the exhaust port area and making a nest. Parts were pricey, nearly 80% of what the mower cost new. Just the nature of things.
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what exactly were the parts? what kind of mower?
Needed a head, seats, and valves. The problem was he bought the mower at TSC about this time 2 years ago on clearance. I think he gave $1200 for a $2000 mower. Never got to use it. Fired it up in the spring and it ran bad. When he would engage the blades the engine would die. Long story short the parts were next to none to find and after talking to Small Engine Warehouse it was cheaper to just get a new motor or a new mower. Grass was growing so he got a new mower. He found a old timer with more patients and skill then I had and he cut new valves and seats by hand using some out of a Caddy engine I think and reworked the head. Got it going and gave the mower to his son.
As far as removing the head its not too difficult. I have done it on a small 3 cylinder Kubota some time back and nothing special. All we did was replace the head gasket but if you get stuck just take it to a machine shop and have them do the work. Big thing is to get new head bolts. They stretch and its not recommended to reuse them because you can not get a accurate torque. Of course you will need a gasket set also.
My neighbor runs a commercial mowing service. Running Farris IS 3100 with the 37HP Kaws. Nice machines. He has been running Farris Mowers for the last 5 season with Kaw's and I do all the maintenance. All I have done to the Kaws is change the oil every 100 hours, keep the air filters clean, replace fuel filters, and give the chassis a greasing. He used to run other stuff from Scag, Dixon, Dines, ect and most had BS engines that would not go a week without a issue.
I run a marine maintenance business and we use a lot of Kaws and Honda's in the gens and they are the same, turn key. The only BS engine I have is on my Troy Built 8550 Generator. Its what it is, a $850 generator. I will admit it has been basically trouble free. My father-n-law is a die hard BS man and Chevy truck/car guy. They both give him something to work on owning about 10 small engines on mowers, log splitters, snow blowers, ect. and 3 trucks and 2 cars.
Chris