The battery would work for the break-away braking system, but I'm not sure about the electric jack when using the lawn tractor battery only. If you always were plugged in to the TV and the TV running, then lawn tractor battery shouldn't be a problem.
Sherm & Terry w/rescues Steve (std Poodle) & Eydie (min Schnauzer)
2015 Jay Flight 27RLS (Camped: 102 nights 2015, 90 nights 2016)
2006 Ford F350 6.0 PSD, Lariat, 4WD, CC, LB, SRW, auto., Camper pkg.