D&D 5E - Blur vs Shadowblade for a Bladesinger/Rogue multiclass

Blur is defensive, concentration, minute-long dodge action.
Shadow blade is an offensive, concentration, minute-long +1d8 damage and advantage in dim light.

Blur is solid if you can get yourself into a position to "tank". Then the cost of the action is mitigated, as your primary utility is soaking attacks by foes.

Otherwise, the best status condition is dead, and the best defence is having no foes alive to attack you.

Using an action to make yourself harder to hit is almost always a losing game, unless you can somehow force your foes to burn their actions attacking you, and you want that to happen, and your allies in turn have great offence to make up for you not contributing.

Also, Haste is coming in another 2 BS levels. At BS 5/Rogue 3 (3 more levels), you can haste+attack (1d8+2d6+dex) round 1. Then each round after, attack, and ready an off-turn attack for 2d8+4d6+2dex damage (31). At BS 6/Rogue 2 (also 3 more levels), SB + BB + EA is 5d8+1d6+dex (30), while Hex + BB + EA is 3d8+3d6+dex (28).

BS 6/Rogue 3 with haste is 4d8+4d6+3dex (44), with SB is (Assuming AT) 7d8+2d6+2dex (46.5), with Hex 3d8+4d6+2dex (35.5).

In short, SB's main advantage over Hex is the advantage you get in dim light and that it scales better with higher level slots.

Both Hex and SB require additional attacks to be really good.

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