The wobble is caused bythe spider gene itself and only snakes that have the spider gene will/can exhibit a wobble. Your lemon blast does not carry the spider gene and therefore will not exhibit a wobble ever. All visuals spiders have a wobble, the severity of that wobble varies from snake to snake. Some snakes have virtully no wobble where as others have them really severly. Either way, they still thrive like normal ball pythons. Granted, there are other genes that can display a wobble, they aren't as severe as the spider wobble.
To answer your questions:
1) If we are strictly speaking with the spider gene, only the offspring carrying the spider gene, i.e. Visual spiders, will have the wobble. A non-spider pairing will not produce any wobblers. Now, there are certain other genes that have been known to wobble such as champgne, hidden gene woma, super spotnose etc. The same idea applies, only visual champagnes or hidden gene womas will have the wobble. The super spotnose is special in that only the super form wobbles, so a spotnose to spotnose pairing can produce a super spotnose, also known as a powerball, which is known to sometimes wobble.
2) The wobble is part of the spider gene. You can't breed it out and it just comes with the spider gene. Whether or not you want to keep one is up to you but know that they will still live normal lives aside from that little quirk.