Dapper parameterized query for string value causing issues?

I have this Method# 1 query below that is parameterized using dapper, problem is the query times out with this approach even after waiting 30sec and normally it takes max of 1 sec on SSMS with plain sql.

However Method # 2 query actually works where the query is built on the server side instead of parameterized one. One thing i have noticed is, it might have something to do with filter for FirstName and LastName, I have single Quote on Method #2 for those filter but not for Method #1.

What is wrong with Method # 1 ?

Method # 1

string query = "SELECT *
                FROM dbo.Customer c                
                WHERE c.MainCustomerId = @CustomerId 
                AND (@IgnoreCustomerId = 1 OR c.CustomerID = @FilterCustomerId)
                AND (@IgnoreFirstName = 1 OR c.FirstName = @FilterFirstName)
                AND (@IgnoreLastName = 1 OR c.LastName = @FilterLastName)
                AND (@IgnoreMemberStatus = 1 OR c.CustomerStatusID = @FilterMemberStatus)
                AND (@IgnoreMemberType = 1 OR c.CustomerTypeID = @FilterMemberType)
                AND (@IgnoreRank = 1 OR c.RankID = @FilterRank)
                ORDER BY c.CustomerId
                OFFSET @OffSet ROWS
                FETCH NEXT 50 ROWS ONLY";       



                _procExecutor.ExecuteSqlAsync<Report>(query, new
            {
                CustomerId = customerId,
                IgnoreCustomerId = ignoreCustomerId,
                FilterCustomerId = filter.CustomerID,
                IgnoreFirstName = ignoreFirstName,
                FilterFirstName = filter.FirstName,
                IgnoreLastName = ignoreLastName,
                FilterLastName = filter.LastName,
                IgnoreMemberStatus = ignoreMemberStatus,
                FilterMemberStatus = Convert.ToInt32(filter.MemberStatus),
                IgnoreMemberType = ignoreMemberType,
                FilterMemberType = Convert.ToInt32(filter.MemberType),
                IgnoreRank = ignoreRank,
                FilterRank = Convert.ToInt32(filter.Rank),
                OffSet = (page - 1) * 50
            });


    Method # 2      

            string queryThatWorks =
                            "SELECT *
                 FROM dbo.Customer c                
                WHERE c.MainCustomerId = @CustomerId 
                AND ({1} = 1 OR c.CustomerID = {2})
                AND ({3} = 1 OR c.FirstName = '{4}')
                AND ({5}= 1 OR c.LastName = '{6}')
                AND ({7} = 1 OR c.CustomerStatusID = {8})
                AND ({9} = 1 OR c.CustomerTypeID = {10})
                AND ({11} = 1 OR c.RankID = {12})
                ORDER BY c.CustomerId
                OFFSET {13} ROWS
                FETCH NEXT 50 ROWS ONLY";

                _procExecutor.ExecuteSqlAsync<Report>(string.Format(queryThatWorks,
                customerId,
                ignoreCustomerId,
                filter.CustomerID,
                ignoreFirstName,
                filter.FirstName,
                ignoreLastName,
                filter.LastName,
                ignoreMemberStatus,
                 Convert.ToInt32(filter.MemberStatus),
                 ignoreMemberType,
                 Convert.ToInt32(filter.MemberType),
                 ignoreRank,
                  Convert.ToInt32(filter.Rank),
                 (page - 1) * 50
                ), null);