SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    2093, 2094, 1546, 1601, 2392, 371, 449, 
    1540, 2404, 2082, 2405, 1516
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00055

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 24,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (2093,2094,1546,1601,2392,371,449,1540,2404,2082,2405,1516) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}

Result

product_id seo_name seo_path
371 belgiyskiy-kover-200x300-bauhaus-col.474640 302/303/306
449 belgiyskiy-kover-200x300-origami 302/303/324
1516 80x125-chic-512-s-497161 302/303/430
1540 shabby-998c477440 302/303/306
1546 plaza-852c577370 302/303/306
1601 belgiyskiy-kover-200x300-apatite-342-s-497140 302/303/306
2082 belgiyskiy-kover-200x300-basalt-773-s-677230 302/303/306
2093 belgiyskiy-kover-160x230-porto 302/303/306
2094 belgiyskiy-kover-160x230-prisma 302/303/306
2392 tureckiy-kover-elegant-bone-bone-160x230 302/303/304
2404 tureckiy-kover-wave-160x230 302/303/304
2405 tureckiy-kover-zebra-bone-bone-160x230 302/303/304