That's overly simplistic when you consider trends of reduced rental stock as those become homes on the buyers market, air bnbs or second homes
the reduced availability of rental stock is undeniable and therefore, when prospective new landlords, or existing landlords across the UK decline to invest in a private rental property, it does nothing to stave the decline in rental stock
sure, you can negate the effect by looking at OP is a single data point outside of any wider attitudinal reluctance - driven by a combination of personal finances, the state of the economy, property prices, long-term ROIs etc, then OP's stance becomes multiplied by many orders of magnitude - that's a different scale of effect on rental supply - which exists as a subset of a largely fixed total housing supply due to miserably low rates of new build as a % of need.
ergo, flipping the above reticence to engage on its head, if a sufficient glut of prospective landlords went through to the purchase of properties for rent and released them to the market, the dent in the rental shock shortage would be much larger. A lot of new build developments aren't selling right now, but most of those new builds were never getting into the hands of current tenants trying to get on the ladder anyway.
The focus on demand for housing is being misdirected, there's not queue of people vying get on the property ladder with their 20% deposits in their sweaty palms and having their cash refused.
There's a glut of people who are likely never to own, but not enough rentals for them to access at anything like liveable rent