OK, there are none that have in-tank pumps/primers, so if yours doesn't have that assembly beside the tank then yes the only primer is the hand primer bulb in the engine bay, so it relies on the system staying pressurised and using the high pressure pump to do the work.
When you have trouble with it starting, go and pump the primer, is it hard or soft? If soft then it is fuel leaking back to the tank so you have a small leak/air leak between there and the tank. The housing with the primer is a common issue as the plastic cracks/becomes brittle and will allow a slight leak.
To verify, before you start first thing on a morning, go in bonnet and pump primer a good few times to get the primer bulb nice and hard, then try a start. If it starts then you've confirmed the issue. If the primer is hard and pumping does nothing to help it starting, then that's not your issue, issue then must be anywhere north of the high pressure pump (Solenoid, hp rail, injectors, pressure relief valve). All of these are common and some easier to test than others (Pressure relief valve and injector leak off test relatively easy so do those first). plenty posts about it and I've done a whole video covering many of these issues.
If you rev the engine does the noise go an come back when you De accelerate if so i can 100% guarantee that it is the decoupledr pulley on the alternator. You can buy these on line.. I changed the tensioner first DIDNT NEED IT THOUGH... that seemed to work but not for long a week maybe....DECOUPLER PULLEY also called a clutch pulleyhttps://rover.ebay.com/rover/0/0/0?mpre=https%3A%2F%2Fwww.ebay.co.uk%2Fulk%2Fitm%2F263281585361