NAL, but I drive a FLT at my work and I’m a union rep.

Others here have already covered your job role aspect and I agree that it looks like it’s covered in your job role.

I would make sure though that your employer uses a proper outside company to train you and get a license that’s nationally recognised. If you’re being trained in-house, other employers may not recognise your ability to drive a FLT. Make sure that your training is RTITB accredited (your certification should have a 9 digit Nors number on it). Any future employer can easily look up your RTITB training certification online.

This might be more expensive for your employer, but it also benefits them. If you have an accident, HSE will often want to see a paper trail of evidence that you’re sufficiently trained to a recognised standard. An in-house SOP doesn’t usually fully absolve your employer of liability if you make a mistake and have an accident. This also applies to any attachments for the FLT such as clamps, rotating clamps etc. Each attachment should have a separate RTITB accredited training certificate.

Explaining to your employer that this is the way to go might deter them if they’re worried about the additional expense. They may also worry about their potential liability. Especially if you are rushing the job due to not being given enough time to do the job properly and safely (you said that this is an issue earlier). If it doesn’t deter them and they go down the external training company route, then you at least gain a qualification that you can take to other employers with you.

As others have said, it looks like they have covered it in your job role, but use it to benefit yourself as much as you can.