The L to R appears normal to me , no need to buy rockers when proper adjustments will fix your "problem".
I just went threw something similar with my daughters wagon, almost as dirty inside, yuck!!!
Here is what I would do:
1) remove the nuts, rockers and pushrods , keeping them in order so they go in the same way they come out.
2)Throw the nuts in the trash. Cinch nuts are single use and never hold as well when reused. They are cheap to buy.
3)Clean the rockers, balls and push rods with your favorite solvent, remember to keep in order.
4) You now have more room to clean out all the gunk. Use spoon, fingers , whatever to get as much out without knocking chunks down into the engine. Don't tell my wife but I use the corner attachment from the vacuum cleaner. She thinks she lost it. :wink: I was able to buy a small to large hose adapter at Lowes and hooked it to my Shop Vac. This thing will suck up small rodents!!
5)Loosely install clean parts with thew new nuts putting a dab of Lucas oil threatment on all contact points.
6)Chris O has been giving good advice, not as good as mine
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, about setting lash,. Only I do different is spinning the push rod to achieve zero lash. Once it can't spin between my thumb and index finger, while tightening the nut, you are there, zero lash. Follow what Chris or the shop manual to do the other 1/2.
7)After adjusting , If all the studs have a similar amount of thread showing, maybe 3, you are done
If you plan on running ATF or any other solvent to help clean up the motor, install a new truck filter. They are twice as big as a car filter , so it is less likely to clog from all the stuff you have knocked or are knocking loose.
Since you WILL NOT be driving with the solvent in there , it hanging low is not an issue. Run for 5-10 minute varying speeds.
Now do another oil change while oil is hot and thin. Be carefull , you can get burned. Include new filter of your choice..