No, he meant Voldemort to think it his.
It seems highly unlikely that Dumbledore planned that Snape would have to die. He likely had reasoned that Voldemort would consider stealing the wand from his tomb to be enough to master it, which he did, for quite some time. Voldemort stole the Elder Wand before Easter break, and when he decided he needed to kill Snape to master the Elder Wand, Easter break was already over, and Hogwarts students were back at school. That means for weeks he could not figure out why it was not working for him when he stole it from Dumbledore’s tomb, and had not considered it necessary to kill Snape.
“I sought a third wand, Severus. The Elder Wand, the Wand of Destiny, the Deathstick. I took it from its previous master. I took it from the grave of Albus Dumbledore.”
- Harry Potter and the Deathly Hallows, Chapter 32 (The Elder Wand)
Dumbledore likely intended for Voldemort to be defeated without ever deciding he needed to kill Snape to master the Elder Wand, possibly without ever realizing he had not indeed become the master of the Elder Wand when he stole it. Additionally, Dumbledore never risked Voldemort gaining mastery of the Elder Wand through Snape. Dumbledore’s plan was not to pass the mastery of the Elder Wand on to Snape - it was to die by his own choice and therefore undefeated, in a way that would not pass the mastery of the Elder Wand on.
“That wand still isn’t working properly for you, because you murdered the wrong person. Severus Snape was never the true master of the Elder Wand. He never defeated Dumbledore.’
‘He killed –’
‘Aren’t you listening? Snape never beat Dumbledore! Dumbledore’s death was planned between them! Dumbledore intended to die undefeated, the wand’s last true master! If all had gone as planned, the wand’s power would have died with him, because it had never been won from him!”
- Harry Potter and the Deathly Hallows, Chapter 36 (The Flaw in the Plan)
Further confirmation of this - when Harry tells the portrait of Dumbledore in Hogwarts of his plan to put the Elder Wand back in his grave and asked if his dying naturally would break the Elder Wand’s power, Dumbledore agreed with all of it.
“I’m putting the Elder Wand,’ he told Dumbledore, who was watching him with enormous affection and admiration, ‘back where it came from. It can stay there. If I die a natural death like Ignotus, its power will be broken, won’t it? The previous master will never have been defeated. That’ll be the end of it.’
Dumbledore nodded. They smiled at each other.”
- Harry Potter and the Deathly Hallows, Chapter 36 (The Flaw in the Plan)
Dumbledore also had plans dependent on Snape to carry them out. He intended Snape to be alive to tell Harry that he held a piece of Voldemort’s soul himself. Furthermore, Dumbledore does not seem to have told anyone other than Snape this, so he relied only on Snape to pass this crucial knowledge on.
“But what must he do?’
‘That is between Harry and me. Now, listen closely, Severus. There will come a time – after my death – do not argue, do not interrupt! There will come a time when Lord Voldemort will seem to fear for the life of his snake.’
‘For Nagini?’ Snape looked astonished.
‘Precisely. If there comes a time when Lord Voldemort stops sending that snake forth to do his bidding, but keeps it safe beside him, under magical protection, then, I think, it will be safe to tell Harry.”
- Harry Potter and the Deathly Hallows, Chapter 33 (The Prince’s Tale)
Since this conversation with Harry as Dumbledore had planned it would have to take place soon before Harry’s and Voldemort’s final battle, Dumbledore would have had to intend that Snape remain alive at least until shortly before that final confrontation.