First of all: By "sigil" do you mean Symbol of Purity? in your post #39 i mean.
Yeah, I use those things so mcuh that it got implanted in my brain.
I think that when the devs designed this item, had in mind many invisible objects to add, but eventually they didnt, and the goggles were left with this effect.
Yeah, that's the impression I got too.
About the Amulet of TP, I tested it and yes late game it is very strong because the 30 sec CD is 25 sec with the CD flag on Cataract. But about the 1.5 sec cast, i think it is ok because once again, that you are sacrificing BotF's +800 HP, BotS infinite Mana etc, for an item that is basically infinite teleports.
Well bear in mind not everyone can get the BotS, for the most part it's just UB and TB. The reason why I say that first is that there's no way to really compare the strength of BotS to anything else, the thing is infinite mana, it's amazing.
When you compare BotF to a free item slot late game though, I think BotF is the weaker choice. Now of course this is ignoring how likely you are to reach the end game with an Amulet of Teleportation, but assuming that every player will have a teleport scroll, cap lock, and sigil, you could replace the amulet with an empty trinket slot and it would be effectively the same as it is now. You can put potions, a wand of speed, an orb of defiance, a cloak of fire, orb of veiled storms, bracelet of rage, etc. etc.
Now obviously those things aren't free, but even a Wand of Speed becomes a pretty valuable item for that extra slot fairly early in the game for just about any character, and it just gets better from there. I wholeheartedly agree that the Amulet is one of the absolute weakest level 1 choices, but I really think it's one of the strongest if not the strongest late game choice.
That's why I feel it should just be brought up to par with teleport scrolls in terms of its cooldown, I don't like how it's weaker than them atm.
About Saam-el's Cloak, i disagree, because it not against regulus or tb only, but against any character who will focus on debuffing enemies speed. So this item would be strong vs Oak, Erebus, Regulus, TB ice, and UB. Thats 5 demigods who have at least 1 slowing skill. Just think that you are sacrificing BotF's +800 HP, BotS infinite Mana etc etc. There are a lot of other choices, that are still better than Saam-el's Cloak.
Well I have two different responses to this. The first is that I feel removing snares makes gameplay more shallow in general.
The other is that while many characters have snares, I really don't feel anyone is nearly as dependent on them for basic survival as regulus. Erebus has his moments when he'll bite and then run and oak definitely penitence kites at times, but for the most part snares are an offensive tool for these guys, not a survival one.
Now lemme make one point in favor of your change, and that's that the way speed capping works in this game is already completely broken and slanted against Regulus anyway. Even the current 15% version is in practice a 0% snare vulnerability anyway with very little investment. If UB has Inner Beast and Boots of Speed, the slowest speed to which he can be reduced is 7.24 anyway, which means Reg's boned regardless.
That being said, I think this exacerbates the problem and that the current setup of 15% snare cap and 5% run speed makes you effectively immune to snares once you have Boots of Speed anyway, so if people were really interested in snare immunity this option is already on the table and it's not popular in spite of it.