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 (
    2506, 446, 444, 540, 546, 2823, 2869, 
    541, 547, 1478, 1823, 1298, 1540, 1299, 
    1594, 2669, 2447, 2449, 2451
  ) 
  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 0.00098

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "26.61"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 38,
      "rows_produced_per_join": 38,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (2506,446,444,540,546,2823,2869,541,547,1478,1823,1298,1540,1299,1594,2669,2447,2449,2451)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "22.81",
        "eval_cost": "3.80",
        "prefix_cost": "26.61",
        "data_read_per_join": "64K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
444 butylka-pet-1l-s-kryshkoy-rossiya-h77-korichnevaya 294/380
446 butylka-s-kryshkoy-pet-0-5l-d28-mm-h135-ep-prozrachnaya 294/380
540 ip-2000d-pvh-chern-27517770-up140 294/298
541 ip-27-23812790-up300 294/298
546 ip1500-140sht-kor-dno-chernoe-protek 294/298
547 ip1500-kryshka-140sht-kor 294/298
1298 k-144-500-ml.konteyner-kruglyy-chernyy-supovoy-pp-stp-rossiya 294/562
1299 k-144k-kryshka-prozrachnaya-k-kont.-supovoy-pp-stp-rossiya 294/562
1478 k-144-375-ml.konteyner-kruglyy-chernyy-supovoy-pp-stp-rossiya 294/562
1540 k-144-750-ml.konteyner-kruglyy-chernyy-supovoy-pp-stp-rossiya 294/562
1594 sl-41-4e-1ret-sushnica-4-sekcii-400sht-kor.emkost-odnorazovaya 294/390
1823 k-144-500-ml.konteyner-kruglyy-prozrach.-supovoy-pp-stp-rossiya 294/562
2447 konteyner-108-125-ml-1088227-mm-s-kryshkoy-1-100 294/300
2449 konteyner-108-250-ml-1088250-mm-s-kryshkoy-1-100 294/300
2451 konteyner-108-500-ml-10882102-mm-s-kryshkoy-1-100 294/300
2506 butylka-pet-0-5-l-s-kryshkoy-d38-rossiya-h80-prozrachnaya 294/380
2669 konteyner-serdce-s-sovmesch-krysh-bops-ts-175d-165h150h52mm-cvet-prozr-komus-h1-250 294/390
2823 ip-10-av-konteyner-odnorazovyy-s-nerazemnoy-kryshkoy-12012060-mm-up600-sht 294/298
2869 ip-19-avs-konteyner-odnorazovyy-s-nerazemnoy-kryshkoy-21211455-mm-300sht-kor 294/298