"What I don't really understand is how getting parents to do their DNA will impact on our results - it's amazing that you got thousands more matches (has this led to any breakthroughs for you?)"
The main impact is that you get matches with people who are more distantly related and so this can confirm your family tree back to an earlier common DNA ancestor than you could with just your DNA. It can also help to clear up matches where Ancestry can't tell you which side of the family the match is from.
"has this led to any breakthroughs for you?"
Yes, quite a few. I'll just give a couple of examples (with made up names). Sorry if this is too much detail but I probably need to explain the background for it to make sense.
Around 1760 a Mary Jones, daughter of Thomas and Mary is born in a village. At about the same time in a nearby village another girl with the same name, Mary Jones, the daughter of James and Margaret is also born.
Then about twenty years later one of these Mary Jones gets married in another village close by to these other two villages. That Mary Jones is my ancestor, but which one is she? Unfortunately Mary Jones is a very common name.
Prior to 1837, the name of the father was not recorded for marriages so it's just Mary Jones of this parish married XXX.
The first thing to do is to see if there are any records of a Mary Jones having died or of another Mary Jones also getting married. Failing that, you're rather stuck if there is no DNA evidence.
There was no one who I was a DNA match with who was related to either of the Mary Jones. But then when my dad did a DNA test I found three in particular that matched with him as 5th-8th cousins (they turned out to be 6th cousins of my dad) and when I traced their family trees they all linked back to other children of James & Margaret but not Thomas & Mary - the other names weren't quite so common so it was easier to identify them.
So I then knew that it was the Mary who was the daughter of James & Margaret who was my ancestor and not the other Mary.
There have been quite a few situations like that.
When I first started out there was one much nearer to home. There was a woman who was in the USA who was listed as my 2nd-3rd cousin but no side of the family was given (it was "unassigned") as Ancestry couldn't work out which side of the family the link was on.
When my parents did their DNA tests it turned out that she was a close relation of my mum but a much more distant relation of my dad.
It turned out that we were half second cousins (her grandmother and my grandmother were half sisters, same father but different mothers). It turned out that her grandmother had married a US soldier in 1944 and emigrated to the USA after the war.
Up until then I was totally unaware that my grandmother had half siblings and step siblings (my mum didn't know this either). My great grandmother died young and then my great grandfather remarried a widow who also had children. They went on to have more children together.
When I mentioned this to my mum she knew nothing about it and was really surprised to find out. Although she did say that her step grandmother never did like my mum's mother (who was the step daughter) and treated the younger children who were her own much better. It seems like the old trope of the "evil step mother" was playing out here.
Where my dad comes into it is that it turns out the step mother was very distantly related to my dad with a connection going back to people born in the 1690s so they are 7th cousins once removed.
Sorry, yet another huge post, but I think I needed to include the detail for it to make sense.