Nothing wrong with those. You're 6ft 2", the ceilings are 7ft 4", so ther's a discrepancy of 1ft 2", or 14". If you stand on the cross trainer, chances are you'd be 3-4" off the ground, then you have to allow for the maximum elevation of your body, when the cross trainer is at the zenith of a revolution, so to have a problem, you'd need to be able to elevate off the ground, a further 10-11" or more, thereby clunking your head on the ceiling.
The zentih of a revolution would probably be about 3", so it wouldn't happen.
If your ceilings were 6" above your head, I'd heed caution on such a purchase, but based on your hopefully exacting dimensions, from floor to ceiling, I'd say no worries.