Lyubomyr Zdomskyy (in private communication) sent me the proof of the following result giving a consisting answer to Problems 1 and 2.

Theorem (Zdomskyy). Under $\mathfrak b=\mathfrak c$ there exists a $\mathfrak b$-scale space $X$ which is air and universally meager.

Lyubomyr Zdomskyy (in private communication) sent me the proof of the following result giving a consistent answer to Problems 1 and 2.

Theorem (Zdomskyy). Under $\mathfrak b=\mathfrak c$ there exists a $\mathfrak b$-scale space $X$ which is air and universally meager.