It doesn't have to be in a negative way, I am a bit reluctant to change the water parameters and causing a change that might impact my fish, probably my main issue is that my tap water parameters is not reliable, will give you a small example; my tap water TDS used to be in the range of 120 - 140, but now it is in the range of 200 - 240 which is almost the double; this means that now the total dissolved solids in the water column will change dramatically with big water changes, probably this will positively impact the plants but not sure about the fish; something more or less similar to the old tank syndrome when you introduce new fish to an established tank without acclimating them
If your tap water TDS is changing it's likely mostly differences in dGH, dKH, and nutrients in your source water. If you wanted to really understand what is going on you would measure these as the TDS changes. Then you would know if you may need to add more/less of Ca/Mg or adjust fert dosing due to the NO3/PO4/K in the source water.
But either way 200 - 240 is still in a reasonable range. I can't think of a single plant or fish that would issues at that level. But let's look at what happens when you don't change water. Decaying organics are constantly building up in the water column. This also raises TDS, but in a bad way. When you mention old tank syndrome, what you are referring to is a large build up of organics over time which is caused by not performing water changes. There is a big difference between a tank who's TDS is rising due to lack of water changes, and a tank whose TDS is rising due to more dKH, dGH, and nutrients in the water column.
Having said that I saw many established tanks that are doing just fine with a minimum amount of water changes, one of these was one of my own tanks that remained for months without any water change and its filtration depends on a small hang on back filter; and to my surprise the plants were doing much better than another a tank where I used to make weekly 30% water changes, after 3 months the one with no water changes was excellent with no algae, all it needed was frequent plants' trimming as the stem plants were growing very fast; on the other hand the one with weekly maintenance was invaded by algae in a very ugly way
No doubt there are some tanks that can get by with fewer water changes. In most cases the tank is not being driven hard and has a mix of easy plants. If someone finds a balance doing this then more power to them. A nice low tech tank can be very, very nice. But as you grow in the hobby and start working with harder to grow more sensitive species, water changes become more and more important.
I've seen many people over time extol the virtues of minimal water changes. In most cases when you actually see the tank it is less than desirable. Not to say there aren't exceptions, as there certainty are. But for most people skipping water changes is not a good viable long term strategy. Both for fish and plants. Fish LOVE a large water change. Clean well oxygenated water brings out the best in them and helps keep them healthy and long lived. Old water full of decaying organics does the opposite.
In my experience, particularly with a high tech tank, uber clean conditions make every single other thing easier. I know many of the most successful people in the hobby. The one thing they all have in common is excellent maintenance.
In fact, if you have problems in a tank, one of the best ways to whip it into shape is by performing several large water changes back to back. This is well known in the hobby. Many Dutch scapers use this method before a photo shoot. The tank just blossoms and plants perk up to peak health.
Of course, this is just my opinion based on many years of my own practical experience and interaction with a large number of successful plant growers from around the world. There will always be anomalies out there. But I will say that I have never, ever seen a tank full of algae due to too many water changes. Usually it is completely the opposite. If you drill down on those two tanks I am guessing you can find a different root cause of the algae.