The bigger problem isn't responding to invades. It's losing in all lanes and keeping the lanes pushed into the opponents tower with no wards or map awareness so any roam or gank from the other team is free gold. I've noticed a lot more games lately where they're spamming / pinging assist constantly for ganks and consistently doing this.
There seems to be the impression that the jungler is magically able to turn anything around no matter how bad your lane play is. Actually a lot of times even when I do get them a advantage they proceed to throw it instantly instead of being safe and letting it build. As for counter ganking it depends on the lane situation. If bot lane got 2 double kills and I go in for the counter gank it's more than likely going to give them a triple kill. Same thing when the top laner decides they need to constantly try to duel the fed opponent and spam tp on cooldown to give them kills faster.
Literally how they respond on the first gank or two will tell you if that lane is worth feeding. If they have already gave 2 - 4 kills to the laner before you start your second jungle clear they're not going to carry. If they ask for spam pings when you gank they're not going to carry. If they sit there and cs while you duel the laner to half health or less from full hp they're not going to carry. If they constantly push out the lane even though they've already died one or two times they're probably not going to carry. If they're not using the ward trinket at all and don't ever buy a pink they'll probably not carry. If the laner isn't going to carry you need to either get yourself fed enough to do it, or focus on one that will. This kinda thing happening so often is why I've been spamming Udyr. He's excellent at being selfish.
I've noticed alot of laners lately giving up insane amounts of kills really early. Actually it's more common when they're premade. It seems matches with 3 man or 4 man premades usually have feeders in all lanes.