will it sounds too strange vs or it may sounds too strange

Some examples from the web:

• It sounds strange, but that's what he wants.
• It sounds strange, but just follow me for a while.
• It sounds strange, but it's credible.
• I know it sounds strange, but...
• Look, I... I know it sounds strange, but you really can't go in there.
• It sounds strange under the circumstances, but I had a good time today.
• It sounds strange... but, I'm in a penalty box.
• It sounds strange, but it definitely isn't.
• After all that's happened - it sounds strange, I know, but I am - I haven't even given any thought to it, what comes next.
• I know it sounds strange, but it's a deal we made from the start.
• It sounds strange but, I'm in a penalty box.
• I know it sounds strange, but we all call him that because it's just easier for us.
• It sounds strange, but that's it.
• Know it sounds strange, But I suddenly feel horrible out what I have to do.
• I know it sounds strange, but we all contribute to the relationship and we're really nourished by it.
• It sounds strange, but in China the woman always serves the man.
• I know it sounds strange, but... we helped each other get through it.
• I know it sounds strange, but for me, in my condition, that freedom changed everything.
• Well, I know it sounds strange but the house makes me relax when I'm here.
• I know that it sounds strange, but trust me, it's for the best.

Some examples from the web:

• It may sound strange, but it is true.
• It may sound strange, but they loved the people.
• I need to ask you something, and it may sound strange.
• It may sound strange, but when the lady climbed the wall, he got on all fours to serve as her footstool.
• It may sound strange, but I've come to think of that meteor shower as a blessing.
• It may sound strange, but I think he understands me better than Roger did.
• It may sound strange but a place can get sick the same way.
• It may sound strange but I've always felt that the school had a spirit.
• It may sound strange but a place can get sick the same way.
• It may sound strange, but seeing Kif's mutilated remains poured into the mud made me really sad.
• This may sound strange, coming from me... but I think your husband... was wrong to leave France.
• Look, this may sound strange.
• I know this may sound strange to some, but my intentions were honourable.
• Well, this may sound strange, Mrs. Brubaker, don't be upset with me.
• This may sound strange, but I want to clean up this nation more than anyone.
• This may sound strange, coming from me... but I think your husband... was wrong to leave France.
• This May sound strange, but I'm a big fan of the concrete block.
• I know it may sound strange, but... what if she's out there in the cold...
• You know, this may sound strange for me to say, but thanks for at least doing this here at my bar where I can see it.
• This may sound strange, but... are virgins over 30 years of age rare?