If your attorney really knows nothing about Canadian immigration law, call the Canadian Embassy or Consulate nearest you and ask. Canada is very hard on DUIs and may refuse admission for a recent DUI. Whether the border agents know that a wet reckless is virtually the same thing is a question best answered by the Canadian authorities.
In the United States you are innocent until proven guilty. This means you are generally not in databases for a conviction, prior to a conviction.
Canada is tough on DUI, however, it is likely it will depend on which border agent you speak with while entering to determine whether you are admissible. If you have further questions about this, you may want to contact a lawyer in the Canadian provence you wish to visit.
First, your attorney should know this.
Second, if you win you should be fine. If you settle, you may be stopped from entering, but for just a reckless you should be ok. A wet reckless is discretionary, or at least treated as such, based on the customs agent. Canada is very toguh on alcohol related offenses, so a wet reckless may raise eyebrows.
I've answered this question before so you can search the answers. THe short of it is you are probably already prohibited form entry to Canada. I know of folks who were merely charged with DUI who have been denied entry. Also, any offense involving alcohol and driving is considered a dangerous offence so I am not sure a reckless will save you --it hasn't for my clients. Here is the link to the Canadian Embassy's page on admissibility to Canada with criminal issues. http://www.cic.gc.ca/english/visit/faq-inadmissibility.asp