You can however register for personal use of the vehicle and from memory the taxable Benefit In Kind is circa £3.5k so if you are a basic rate taxpayer then you will only pay around £700 in tax on it at the end of the tax year. Given you can easily run up £100 in fuel per week, it is a pretty good option to keep yourself right tax-wise.
Benefit in Kind is an interesting thing, that any competent accountant ought to know about. The rate you pay depends, your figure sounds like at the upper end, for an ICE vehicle.
It is particularly advantageous for those running pure EVs, or plug-in hybrids with some actual useful range. Though I think that the hybrids are going to be knocked back from the scheme. Because very few actually ever plug them in, so they are basically a sham.
A explanation:
EV: Tax Benefits
I used to run my car, and my van, through my business, All worked well, but that was some years ago. However I have since stopped running a business, other than for my consultancy services as a sole trader and manage my own tax affairs without need for an accountant.
My chums with EVs (three Teslas, one VW, one BMW) continue to do so, and basically pay almost nothing for their personal use, and offset their business use against various taxes, likewise basically zero cost. This is not fraudulent, everything is legit.
Likewise my Sister in law runs her and her husbands business (installing PV panels, heat pumps, and Tesla Power Walls) running a small fleet of pure EV vans and cars, to similar effect. Their vans are pretty impressive in how practical they are to run, range, servicing and lease costs.
Interestingly, just this week, I was visited by EDF to sort out a failed smartmeter installation at my house, they sent the area manager, and his "engineer". Who rocked up promptly, the manager in his top-end BMW EV, and the fitter in his EV van. Whilst the fitter got on with the job (much better meter, compatible with grid tied solar and EV charging, (a future plan), plus a big external antenna so that it could actually communicate in my poor signal area, the initial problem with the first one) I had a good long chat with the manager about all sorts of modern electric developments, whilst the fitter cracked on, for three hours. Both of them had travelled almost 100 miles to me, and would have the same trip to get back home. Both confident that their car, and van, would make it, and be fit again next morning.
Upgraded my supply from 45A to 100A whilst they were at it, not that I intend to draw that much, on average. However if everyone on the street wanted that much, they couldn't supply it. to everyone. Altogether a good experience