Once again, I'm at a loss as to what this means. Maybe I'm being slow. Surely good quality businesses have better growth prospects, so it's definitely NOT a case of "growth OR quality", as you state; it's more a case of growth AND quality.
If you are a stock picker, you must have a view why a company will deliver a return which (more than) justifies the price you pay for its shares.
A business with tangible proven strengths, strong management, a proven product or service, an established market presence, a strong balance sheet and most important to my mind repeat customers, if the shares are well priced is a value opportunity.
I am a value investor, this is not because I prefer to get my return from dividends or because I believe value companies out perform. It is because I feel that I have some ability to identify, these things
A business with huge unproven potential is a growth opportunity. I am not a growth investor because I have no idea how to value a good idea, and I know something about how difficult it is to translate good ideas into strong businesses.
In fact two of the companies you have referenced in this thread highlight the point. Renishaw is a value investment, you understand as much as anyone can about the business, you are well positioned to make an informed opinion about the value or otherwise of its share price at any given time.
Tesla is the opposite. Obviously it is a brilliant idea with huge potential. That gives me at least no clue how to value the business. No one has any idea if it can overcome the obstacles to delivering on its potential. It may well succeed after more financing leaving the current shareholders to be wiped out along the way.
I am a value investor because I think I could make a sensible decision about Renishaw, I certainly could not make a sensible decision about a price for Tesla, (I don't think anyone else can either).