Maybe not bad exactly, but it could be the cause of your tube failure. As mentioned above, the tire conforms around the roller drums. At low pressure, that means the tire flexes a LOT. That flex leads to friction and heat. Excess heat could be the reason for the tube failure.
A higher tire pressure will reduce tire flex on the roller, and should reduce tire heat as a result. If the excess heat blew the tube, higher tire pressure may keep temps to a safer level for the tube.
I’d suggest considering a regular hand floor tire pump that allows you to get pressures around 100psi.