I think the question was if user receive the same address using both seed and brainwallet. And then yes, as both point to the same private key.
They don't point to the same private key. The brainwalletx will give you an address whose private key will be the hash of your word and the other will give you private keys whose master private keys' entropy will be the hash of the word.
With brainwalletx and the entropy I used above, we get this:
1HmwnvKYDQX1qr5UJxMbMP69RizXQSNV85
But, by deriving the addresses of that entropy (BIP32) we get:
path,address,public key,private key
m/0/0,1BXzAYeGfAfukysx9u3jNVmDHotuvC7c56,,
m/0/1,1A6FVYA9HK16dUG5HFoXe86uYwYL7CoDCt,,
m/0/2,166CEjEnx4YG5wcbrVjZfaN6iuAHrvvqet,,
m/0/3,1CAThBwUATTKM76qYA2DyRNApRqGcoywC4,,
m/0/4,1Nna3pcMqgzzF68WFnfX16942eTGQQNYcu,,
m/0/5,1F2FAkokmpZeSMiuN5dUB3CDux9fht5ysK,,
m/0/6,187UUwEq8VLp1Gk1ujymZEBmS722F26WA8,,
m/0/7,18P22y4bNYn5RzDaJ6AaxVKEKMXP9huo5q,,
m/0/8,13btapJMLaHDpasQNHuQYtTGbpWkSdYZY1,,
m/0/9,1FP3HcDkes9hPcMjx4oLaSC4xXHn5D4wDC,,
m/0/10,15HJWVG8g7EKzqRkhE8RiHkGP7a28jR4r6,,
m/0/11,1EfDjyuK4Kme7w6X5Y3ag9L2tqsNgLCffh,,
m/0/12,1NDkwp2rVQQmBhiXfXiytsjRuaPvwmGGvW,,
m/0/13,182EqE96vc9DA93j6qdJrYT9PKw4bLjYir,,
m/0/14,1PbDazL1vk2asbX275k7ZBRF8XXYThLWob,,
m/0/15,1CBDtNjz5oyyrHanBwrNxXSKsBREr7w6cz,,
m/0/16,1CUm963uvpc9vjnYGNHaSnMHf7MSzaMCQZ,,
m/0/17,1AQ5F9LRg6HPe93Ws9rH4tCHCCFyZYvkiz,,
m/0/18,14uiQMBA9nMhyUhBcAjygmSc4LTs2ezrui,,
m/0/19,1H4vTaFXZwWSpgGXzVmWPxg5keg86XD81W,,
They don't have any connection unless you reveal the entropy.