THere is no doubt that tilting the forklift mast backwards where possible is the only safe travel arrangement.
Trouble for the 6 year, 32 sit on forklift organisation is that they are assuming that 6*32 = ~ 200 years of forklift operation without injury = a safe operation.
Forklift related trauma is disproportionally serious because forklifts are heavy and hard. My best estimate is that the average chance of someone being seriously injured is around once in 300 - 1200 years of forklift driving.
So this organisation may be "living on borrowed time."
Note that in 40% of forklift fatalities I investigate the company invovled would have been considered to have high standard forklift safety policies, procedures, facilities and training. So good systems and a good record DO NOT mean they are safe.
So Dan-m reading the riot act may be appropriate.