Actually there isn't... Most of those I mentioned earlier are old enough to remember when there was no such thing as cheap tools for the occasional DIYer. Tools were mostly good quality, because even the most amateur user still needed a certain level of sharpness and quality in order to achieve passable results.
If they're good enough for decent quality DIY, they'll be good enough for professional use.
I use Aldi chisels, for example. They cost £8 for a set of four (¼", ½", ¾" and 1"). Some of the top professional woodworkers in the country use these same chisels, not because they're cheap but because they're good quality, take an edge and have decent bevels.
While these are the rarity and usually would cost a bit more, they're a darn sight better than B&Q level kit... and a good number of amateur DIYers can do a better job than some professionals, partly because they buy kit that is good enough. A bad workman shouldn't blame his tools, but a good one will not have poor tools in the first place.
The downside of the DIY culture and making cheap tools for occasional users is that, either they're so cheap that they won't do a good enough job in the first place, which is why so many people remain 'shoddy' DIYers... or they'll actually break (sometimes even on first use) and ruin your work or injure you, which is another reason people remain shoddy DIYers! This was the whole reason I chose to invest in some proper tools - I've only needed one socket set ever, which was a quality Halfords Pro one with a lifetime guarantee that I've yet to need. Most of my older chisels, planes, screwdrivers, spokeshaves and the like are all at least twice as old as me and still going very strong... and my saws are well over 130 years old. You might not think you need quality tools right this minute, but it will pay off later down the line, even if it's just in resale value or passing down to someone else.
So, if they're so cheap that they seem like a fantastic buy, they're most likely too cheap and you risk only problems.
However, you said they were advertised and demo'ed on a TV shopping channel, of all places, which should be screaming sirens in your head.
I guess it's something like this: https://www.amazon.co.uk/16-All-Seri.../dp/1781241007
This is not only unavailable now, but despite a lifetime warranty, it can't even manage 2 complete stars after 22 reviews.
One person said it arrived nice and quick, so 5 stars.
One said you'd need a full-on pillar drill and even then they'll only last a couple of uses, having broken 3 already.
The rest were all one-star, some citing the reviews on the company's own website.
For £40, you could get three sets of drill bits for each of wood, masonry and metal, possibly even some extra or specialised ones too. Or you could choose from a number of comprehensive sets, all decent brands and still for under £40. This is just up at B&Q, by the way. Go to a proper tool shop and there's even greater choice!
If they were any good, they'd have been in wide use long ago.
Most innovations in tools just do the same things slightly differently or slightly easier, usually with power and motors. The principles still remain unchanged.
The rest is usually just marketing gumpf, selling you solutions looking for problems... like the chopstick-making jig. You only need a vice and a spokeshave (maybe £50), but someone's found a way to sell you £300 worth of absolute tosh!!
Same with this Drill (naff) All set - Avoid, avoid, avoid.