User blog comment:Jopjopjop/Volume 19 Spoilers/@comment-104.7.80.176-20150603035954/@comment-16281343-20150603075437

"When she and Akeno were talking about him she said that he interested her."

When did that happen? Also take note that the LN is the source. So, anything the anime might suggest cannot take precedence on what the LN says.

~Giving a leaflet to someone is a normal thing. So, now are you suggesting that they are planning to do something with Moriyama because they gave him a leaflet? How about Kiryuu? They gave him a leaflet because Issei is someone that has a lot of greed and would be a possible client.

~If Issei didn't wish strongly for Rias, other servants would appear not Rias. That would already make reincarnating Issei something that most likely will never happen.

Rias didn't plan anything. She didn't gave Issei a leaflet so she can summon her on the opportune time to reincarnate him. She didn't wait until he died. Because she know nothing about what is about to happen to Issei.