I mean reward-wise. I just finished the Icebrood prologue story and wanted to try the Shiverpeaks Pass mission. Seems the public instance there is not possible (anymore). (According to wiki only for the "latest" missions possible the public mode.)
The lfg seems not to have that many listings (maybe you need to wait until it is on daily) and lot of people seem to use raid slang (KP for kill proof and stuff) to indicate high skill requirements. Starting an own group probably takes long. (And I want to play the game instead of waiting to gather 10 people.)
From what I have seen most stuff can be done without Strikes: Grothmar offers enough other achievements for the meta achievement. For the other maps I heard you'd need to to strikes. Maybe I try it once. Or I just opt to not finish the meta achievement trying to get the reward from a reward track. (I think PvP/WvW reward tracks usually offer the same thing in their last chest.) Mastery points hopefully are - once everything is released - not required. (= enough mastery points from other sources without the few from Strikes to max everything.)
Money-wise I heard fractals were also better? (Starting from T3, I am at T2 now.)
So I guess the other exlusive stuff is just some skins that I'd be missing? (I do not care about skins too much though. Some rewards from Strikes seem to be non-bound and at the TP though.)
So I guess the best strategy would just be to farm other stuff (fractals, open world) - if the money from there is enough for me. Buying stuff (I think some chair that looks cool) from Strikes at the TP if needed. And only if really needed trying them a few times for the achievements. Skins as long-term goal (since they are my lowest priority.)
On a side note: I think it doesn't seem like players actually are using the Strikes to "get into raids" (as afaik intended when they got released).
At least the first one (have not played the later maps) seems to fit well into the map/story. A bit similar to dungeons in the core story. Where you even get mail to inform you about them. Here even better with the lore/story ... where you previuosly had been in the Pass in the story mission and the Strike requires you to back there.
You actually want to play them - because of that. Experiencing the lil bit additional story they offer on top. But when there is no public mode and the lfg does not have a setting for people that leisurely want to do them for fun and first-time achievement (I think there is one just for normal completion without timer). While the normal lfg options already seem crowed by raiders with their raid abbreviatoins/slang. In the end you probably will need to wait for the missions to be on daily. Unless you have regular groups I guess ... might lead to only people that already raided before ... doing the missoins. (Instead the other way round.)
The release schedule seems to hint that they might stop releasing them. (Strikes and raids = final ... no more of them and instead new stuff. DRMs it seems.) Well ... nexts expansion still might bring new stuff. But we know from other previous stuff how it "died". Dungeons seem not to be played that much anymore nowadays - maybe onyl for people that still need achievements. Bounties always seemed boring to me. And - here luckily, for the other contant it is sad - they seemed to also have stopped with them in S4.