I wouldn’t recommend doing this.
You aren’t all that likely to get a useful weapon, then you immediately need to cube it to benefit from it. This is good on classes that have a guaranteed multiplier, but not so good on wizard. Because there’s a good chance you’ll strike out.
Also, you can’t gamble to get a wand for upgrading. You’ll only get a low level wand. You have to craft a level 70 wand at the blacksmith. You can only upgrade level 70 items.
And if you cube a wand, you don’t have room in your cube or enough DBs left after upgrading your artisans to put Etched Sigil in there too. You only get 35 DBs, need 2 for artisan levelling. If you upgrade a weapon (25 DBs) you only have enough DBs left to cube a single item. if you save your item upgrade to 70, you can cube an Etched Sigil plus still have DBs left to cube anything else you might find (e.g. Leoric’s Crown).
The other thing is if you upgrade a wand right at the start, you need the cube. But without teleport, it’s a slow run. I like to wait until I unlock teleport (level 22), then run the cube. That gets you the cube a little before 33, when you’d be gambling for Etched Sigil.
What I’d actually recommend doing is just save your wand upgrade until level 70. Put Etched Sigil in your cube at 33 (assuming you get it, it’s a 62% chance on 475 shards). Then when you hit 70, upgrade your wand, and just wear it regardless of what it is. That gives you a legendary weapon to use right at level 70, and you don’t have to choose between your wand power and Etched Sigil in the cube.
The ‘upgrade a weapon right at level 1’ strategy works well for some other classes, but I don’t find it helps all that much on wizard. Better to go for Etched Sigil and cube it.
If you strike out on Etched Sigil at level 33, at that point you could consider going for a wand upgrade as a last ditch attempt to get a multiplier for levelling. That’s a valid strategy. But I wouldn’t do it at level 1. Or, if you do upgrade a wand at level 1 and get a multplier, don’t bother going for an Etched Sigil, and instead save your shards for 70. You don’t want to both upgrade a wand AND get an Etched Sigil, because you can’t use them both in the cube. Do one or the other. Personally, I always just go for Etched Sigil now and save my wand upgrade for level 70.
Also, how are you planning to level? If you’re killstreak levelling you won’t find many legendaries on the way to 70 (like maybe 2), but if you’re rift levelling, there’s a halfway decent chance you’ll find an Unstable Scepter before level 30. It starts dropping at level 11, and there aren’t that many items in the item pool until you get into the 30s, so there’s a decent chance you’ll find an Unstable Scepter along the way. Another argument for not needing to upgrade a wand right at level 1, at least if you’re rift levelling.
I probably wouldn’t transition into Vyr’s if your end goal is LoD Hydra, unless you intend to use Vyr’s for farming the majority of the season. If you intend to have Vyr’s as your main farming build, then definitely go for it. But it takes a lot of specific items (Swami, Fazula’s, Messerschmidt’s/Obsidian Ring, Chantodo’s), so if you’re just using it as a stepping stone, I’d probably go for Typhon’s Hydra because it’s a better stepping stone into LoD Hydra. You need the same supporting items for both.