I have to wonder if they didn't put strait 30 weight in that at Lowe's like they do the lawn mowers ?
the engine manual specifies zero up 10w30, from 32 down 5w30 and only 50 and above 30w
I would give real consideration to draining the oil and using 10w30 since how likely are you to get below zero
mine started hard like that once I left the gas on I left it in the woods , and it was 5 below zero and I had shut it down in the snow then it snowed more on it and it was covered in ice .
do you have a way to warm it up any ?
tarp and a torpedo heater heater ? even a colman lantern and a tarp something to get it up to about 50 under the tarp and get that engine temp up.
or get it started let it run 20 minutes then shut it down drain the oil and go 5w30 or 10w30
for reference engine manual page 5
https://dirtyhandtools.com/wp-content/uploads/2015/09/Kohler-SH265.pdf
we used to take a metal garbage can lid put charcoal and lighter on it and let it get to coals then slide it under the old 1970s dodges to get them running at 20 below , then my dad put a very light weight oil in , the danger is exactly what happened to him the temp jumped up to like 80 the second week in April and he had to go some where thats about the time he realized he was still running the oil he put in at 20 below he changed the oil as soon as he could back to the recommended but it used oil after that so he traded it in at the dodge dealer they kept that car for years as the loaner kept trying to sell it back to him every time he was in for service cause by then they realized it smoked. since he hand't learned his dodge lesson yet he was back for service ever other month it seemed.
being your in pensatucky I would wager that your splitter has 30w in it as well as warm weather hydraulic fluid
at 5-10 below zero mine will start like that with 10w30 so I did decide to stop splitting below zero
when it was that cold I would cheat and pull the air cleaner and put a dribble of 2 stroke gas down the intake put the air cleaner back on and start it that gives that fuel a little time to evaporate and then it is sucking in a very rich mix it helps overcome the resistance of the thick oil then it fires.
you used to be able to start a car if you could get the first car started and thick jumper cables so that you could turn the second over and over and and over using the power from the running car to keep the cold car turning till it would pop off
your the running car and jumper cables in this case.
I have been running old used snow blowers most of my life so cold weather starting is a learned set of behaviors I have a little squirt bottle like what you put mayonnaise in at a sandwich shop I only use for gas pull the plug little squirt plug back in start some of the snow blowers I had that was a nearly every cold start thing and I just left a plug wrench in my coat pocket.